Question

Find the roots of 100x² _20x +1= 0 by factorisation

Answer 1

Step-by-step explanation:

Factorising :-

100x^2 - 20x + 1 = 0

100x^2 - 10x -10x + 1 = 0

10x (10x - 1) - 1(10x - 1 ) = 0

10x - 1 = 0 | 10x - 1 = 0

x = 1/10 , x = 1/10

Answer 2

$\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}$

Find the roots of the given quadratic equation by factorisation. 100x2 – 20x + 1 = 0.

$\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}$

$x= \frac{1}{10} \: or \: x = \frac{1}{10}$

Step-by-step explanation:

$1000 {x}^{2} - 20x + 1 = 0 \\ = 100 {x }^{2} - 10x - 10x + 1 \\ = 10x(10x - 1) - 1(10x - 1) \\ = {(10x - 1)}^{2}$

Roots of this equation are the values of which :-

$⟹( {10x - 1}^{2} ) = 0 \\⟹(10x - 1)(10x - 1) = 0 \\ ∴ \: (10x - 1) = 0 \: \: or \: (10x - 1) = 0$

$x= \frac{1}{10} \: or \: x = \frac{1}{10}$